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Finding the Third Proportional to 128,392 and 184,937

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Solution

The third proportional to 128,392 and 184,937 is: 266,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,392 : 184,937 = 184,937 : x
  2. Step 2: Convert to fraction form
    128,392/184,937 = 184,937/x
  3. Step 3: Cross multiply
    128,392x = 184,937 × 184,937
  4. Step 4: Simplify right side
    128,392x = 34,201,693,969
  5. Step 5: Solve for x
    x = 34,201,693,969/128,392
  6. Step 6: Final answer
    x = 266,384.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.